Abstract:
We consider a classical problem of linear conjugation for bianalytic functions on smooth contour. We obtain explicit formula of a solution to a problem and describe necessary and sufficient conditions of its solvability.
Keywords:
problem of linear conjugation, bianalytic function, canonical function, Cauchy index.
Citation:
A. P. Soldatov, Tran Quang Vuong, “The linear conjugation problem for bianalytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 76–81; Russian Math. (Iz. VUZ), 60:12 (2016), 62–66
This publication is cited in the following 8 articles:
M.K. Gulov, K.R. Ruziboyzoda, E.Sh. Nosirov, S.G. Ali-Zade, B.I. Safarov, “Oxidative toxemia, hypoxia and intra-abdominal hypertension in acute pancreatitis”, Pirogov Rus. J. Surg., 2024, no. 11, 38
Diego Esteban Gutierrez Valencia, Ricardo Abreu Blaya, Martín Patricio Árciga Alejandre, Yudier Peña Pérez, “On the Riemann problem in fractal elastic media”, Anal.Math.Phys., 13:1 (2023)
Yanyan Cui, Zunfeng Li, Yonghong Xie, Yuying Qiao, “The Nonlinear Boundary Value Problem for k Holomorphic Functions in ℂ2”, Acta Math Sci, 43:4 (2023), 1571
D. B. Katz, B. A. Kats, “Non-rectifiable Riemann boundary value problem for bi-analytic functions”, Complex Var. Elliptic Equ., 66:5 (2021), 843–852
Abreu Blaya R., Cruz De la Cruz M.P., Sanchez Santiesteban J.L., Sigarreta Almira J.M., “Riemann Problem For Bianalytic Functions on H-Summable Curves”, Complex Var. Elliptic Equ., 2021
公强 王, “Wavelet Transformation Fualt Diagnosis of Acitve Magnetic Beraings Based on Wavelet Transformation”, MET, 10:05 (2021), 479
Qiao Yu. Cui Ya. Li Z. Wang L., “K-Holomorphic Functions in Spaces of Several Complex Variables”, Complex Var. Elliptic Equ., 65:11 (2020), 1826–1845
A. A. Andreyev, V. P. Padchenko, E. A. Kozlova, “To the 70th anniversary of professor alexander pavlovich soldatov”, Vestn. Samar. Gos. Tekhnicheskogo Univ.-Ser. Fiz.-Mat. Nauka, 22:1 (2018), 15–22